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1001021120022 = 2371179238111519
BaseRepresentation
bin11101001000100011000…
…00100001111000010110
310112200210212211200211010
432210101200201320112
5112400042401320042
62043510204353050
7132215144062230
oct16442140417026
93480725750733
101001021120022
11356592364540
12142007b45786
137351b9bbb81
1436641cd1250
151b08b21a59c
hexe911821e16

1001021120022 has 128 divisors (see below), whose sum is σ = 2528929382400. Its totient is φ = 256584182400.

The previous prime is 1001021120003. The next prime is 1001021120023. The reversal of 1001021120022 is 2200211201001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001021120023) 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, 86895979 + ... + 86907497.

It is an arithmetic number, because the mean of its divisors is an integer number (19757260800).

Almost surely, 21001021120022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001021120022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264464691200).

1001021120022 is an abundant number, since it is smaller than the sum of its proper divisors (1527908262378).

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

1001021120022 is a wasteful number, since it uses less digits than its factorization.

1001021120022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14002.

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

Adding to 1001021120022 its reverse (2200211201001), we get a palindrome (3201232321023).

The spelling of 1001021120022 in words is "one trillion, one billion, twenty-one million, one hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 79 154 158 231 237 462 474 553 869 1106 1659 1738 2381 2607 3318 4762 5214 6083 7143 11519 12166 14286 16667 18249 23038 26191 33334 34557 36498 50001 52382 69114 78573 80633 100002 126709 157146 161266 183337 188099 241899 253418 366674 376198 380127 483798 550011 564297 760254 886963 910001 1100022 1128594 1316693 1773926 1820002 2069089 2633386 2660889 2730003 3950079 4138178 5321778 5460006 6207267 6370007 7900158 10010011 12414534 12740014 14483623 19110021 20020022 27426739 28967246 30030033 38220042 43450869 54853478 60060066 70070077 82280217 86901738 140140154 164560434 191987173 210210231 301694129 383974346 420420462 575961519 603388258 905082387 1151923038 1810164774 2111858903 2166712381 4223717806 4333424762 6335576709 6500137143 12671153418 13000274286 15166986667 23833836191 30333973334 45500960001 47667672382 71501508573 91001920002 143003017146 166836853337 333673706674 500510560011 1001021120022