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1002012020212 = 2271929269241441
BaseRepresentation
bin11101001010011001001…
…00100000110111110100
310112210100221101122100011
432211030210200313310
5112404110034121322
62044152403030004
7132251535433120
oct16451444406764
93483327348304
101002012020212
11356a50732515
1214224396b304
1373649091148
14366d7750580
151b0e8200677
hexe94c920df4

1002012020212 has 96 divisors (see below), whose sum is σ = 2190361824000. Its totient is φ = 391341404160.

The previous prime is 1002012020201. The next prime is 1002012020213. The reversal of 1002012020212 is 2120202102001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1002012020192 and 1002012020201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002012020213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4029412 + ... + 4270852.

It is an arithmetic number, because the mean of its divisors is an integer number (22816269000).

Almost surely, 21002012020212 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 1002012020212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095180912000).

1002012020212 is an abundant number, since it is smaller than the sum of its proper divisors (1188349803788).

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

1002012020212 is a wasteful number, since it uses less digits than its factorization.

1002012020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241769 (or 241767 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1002012020212 its reverse (2120202102001), we get a palindrome (3122214122213).

The spelling of 1002012020212 in words is "one trillion, two billion, twelve million, twenty thousand, two hundred twelve".

Divisors: 1 2 4 7 14 19 28 29 38 58 76 116 133 203 266 269 406 532 538 551 812 1076 1102 1883 2204 3766 3857 5111 7532 7714 7801 10222 15428 15602 20444 31204 35777 54607 71554 109214 143108 148219 218428 241441 296438 482882 592876 965764 1037533 1690087 2075066 3380174 4150132 4587379 6760348 7001789 9174758 14003578 18349516 28007156 32111653 49012523 64223306 64947629 98025046 128446612 129895258 133033991 196050092 259790516 266067982 454633403 532135964 909266806 931237937 1234004951 1818533612 1862475874 1883481241 2468009902 3724951748 3766962482 4936019804 7533924964 8638034657 13184368687 17276069314 26368737374 34552138628 35786143579 52737474748 71572287158 143144574316 250503005053 501006010106 1002012020212