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1020122010102 = 23132329136114407
BaseRepresentation
bin11101101100001000000…
…00101001000111110110
310121112010001112110010110
432312010000221013312
5113203202213310402
62100345415003450
7133462401005346
oct16660400510766
93545101473113
101020122010102
113636a4309a08
12145858969586
13752740222b0
1437534a0cd26
151b80808356c
hexed840291f6

1020122010102 has 128 divisors (see below), whose sum is σ = 2373682268160. Its totient is φ = 289650493440.

The previous prime is 1020122010077. The next prime is 1020122010107. The reversal of 1020122010102 is 2010102210201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020122010107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70800183 + ... + 70814589.

It is an arithmetic number, because the mean of its divisors is an integer number (18544392720).

Almost surely, 21020122010102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020122010102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186841134080).

1020122010102 is an abundant number, since it is smaller than the sum of its proper divisors (1353560258058).

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

1020122010102 is a wasteful number, since it uses less digits than its factorization.

1020122010102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15838.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020122010102 its reverse (2010102210201), we get a palindrome (3030224220303).

The spelling of 1020122010102 in words is "one trillion, twenty billion, one hundred twenty-two million, ten thousand, one hundred two".

Divisors: 1 2 3 6 13 23 26 29 39 46 58 69 78 87 138 174 299 377 598 667 754 897 1131 1334 1361 1794 2001 2262 2722 4002 4083 8166 8671 14407 17342 17693 26013 28814 31303 35386 39469 43221 52026 53079 62606 78938 86442 93909 106158 118407 187291 187818 236814 331361 374582 406939 417803 513097 561873 662722 813878 835606 907787 994083 1026194 1123746 1220817 1253409 1539291 1815574 1988166 2441634 2506818 2723361 3078582 4307693 5431439 5446722 8615386 9609469 10862878 11801231 12923079 16294317 19218938 19607927 23602462 25846158 28828407 32588634 35403693 39215854 57656814 58823781 70807386 117647562 124923097 249846194 254903051 374769291 450982321 509806102 568629883 749538582 764709153 901964642 1137259766 1352946963 1529418306 1705889649 2705893926 3411779298 5862770173 7392188479 11725540346 13078487309 14784376958 17588310519 22176565437 26156974618 35176621038 39235461927 44353130874 78470923854 170020335017 340040670034 510061005051 1020122010102