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202002012020112 = 243107337125992699
BaseRepresentation
bin101101111011100001000010…
…001010111001110110010000
3222111020012111112110010020220
4231323201002022321312100
5202434100110034120422
61553342235423033040
760356110111566453
oct5573410212716620
9874205445403226
10202002012020112
1159400632670677
121a7a541513b780
1388939286187a5
1437c4d417bb49a
151854808a05e5c
hexb7b8422b9d90

202002012020112 has 160 divisors (see below), whose sum is σ = 528703785792000. Its totient is φ = 66453235451904.

The previous prime is 202002012020099. The next prime is 202002012020129. The reversal of 202002012020112 is 211020210200202.

It is a junction number, because it is equal to n+sod(n) for n = 202002012020091 and 202002012020100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2179071139 + ... + 2179163837.

It is an arithmetic number, because the mean of its divisors is an integer number (3304398661200).

Almost surely, 2202002012020112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202002012020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264351892896000).

202002012020112 is an abundant number, since it is smaller than the sum of its proper divisors (326701773771888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202002012020112 is a wasteful number, since it uses less digits than its factorization.

202002012020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94413 (or 94407 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202002012020112 its reverse (211020210200202), we get a palindrome (413022222220314).

The spelling of 202002012020112 in words is "two hundred two trillion, two billion, twelve million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 337 428 642 674 856 1011 1259 1284 1348 1712 2022 2518 2568 2696 3777 4044 5036 5136 5392 7554 8088 10072 15108 16176 20144 30216 36059 60432 72118 92699 108177 134713 144236 185398 216354 269426 278097 288472 370796 404139 424283 432708 538852 556194 576944 741592 808278 848566 865416 1077704 1112388 1272849 1483184 1616556 1697132 1730832 2155408 2224776 2545698 3233112 3394264 4449552 5091396 6466224 6788528 9918793 10182792 19837586 20365584 29756379 31239563 39675172 45398281 59512758 62479126 79350344 90796562 93718689 116708041 119025516 124958252 136194843 158700688 181593124 187437378 233416082 238051032 249916504 272389686 350124123 363186248 374874756 466832164 476102064 499833008 544779372 700248246 726372496 749749512 933664328 1089558744 1400496492 1499499024 1867328656 2179117488 2800992984 3342633241 5601985968 6685266482 10027899723 12487760387 13370532964 20055799446 24975520774 26741065928 37463281161 39330609817 40111598892 49951041548 53482131856 74926562322 78661219634 80223197784 99902083096 117991829451 149853124644 157322439268 160446395568 199804166192 235983658902 299706249288 314644878536 471967317804 599412498576 629289757072 943934635608 1887869271216 4208375250419 8416750500838 12625125751257 16833501001676 25250251502514 33667002003352 50500503005028 67334004006704 101001006010056 202002012020112