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1020020210144 = 251317241920249
BaseRepresentation
bin11101101011111011111…
…00010011100111100000
310121111211221222110211122
432311331330103213200
5113203000133211034
62100331341031412
7133460023505435
oct16657574234740
93544757873748
101020020210144
113636518a9111
1214582a855568
1375258bcb430
14375252adb8c
151b7ee17562e
hexed7df139e0

1020020210144 has 144 divisors (see below), whose sum is σ = 2302932870000. Its totient is φ = 442006388736.

The previous prime is 1020020210117. The next prime is 1020020210159. The reversal of 1020020210144 is 4410120200201.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50363732 + ... + 50383980.

It is an arithmetic number, because the mean of its divisors is an integer number (15992589375).

Almost surely, 21020020210144 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 1020020210144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151466435000).

1020020210144 is an abundant number, since it is smaller than the sum of its proper divisors (1282912659856).

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

1020020210144 is a wasteful number, since it uses less digits than its factorization.

1020020210144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20725 (or 20700 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 1020020210144 its reverse (4410120200201), we get a palindrome (5430140410345).

The spelling of 1020020210144 in words is "one trillion, twenty billion, twenty million, two hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 289 416 419 442 544 578 838 884 1156 1676 1768 2312 3352 3536 3757 4624 5447 6704 7072 7123 7514 9248 10894 13408 14246 15028 20249 21788 28492 30056 40498 43576 56984 60112 80996 87152 92599 113968 120224 121091 161992 174304 185198 227936 242182 263237 323984 344233 370396 484364 526474 647968 688466 740792 968728 1052948 1376932 1481584 1574183 1937456 2105896 2753864 2963168 3148366 3874912 4211792 4475029 5507728 5851961 6296732 8423584 8484331 8950058 11015456 11703922 12593464 16968662 17900116 23407844 25186928 33937324 35800232 46815688 50373856 67874648 71600464 76075493 93631376 110296303 135749296 143200928 144233627 152150986 187262752 220592606 271498592 288467254 304301972 441185212 576934508 608603944 882370424 1153869016 1217207888 1764740848 1875037151 2307738032 2434415776 2451971659 3529481696 3750074302 4615476064 4903943318 7500148604 9807886636 15000297208 19615773272 30000594416 31875631567 39231546544 60001188832 63751263134 78463093088 127502526268 255005052536 510010105072 1020020210144