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401022022012002 = 23419413177720899
BaseRepresentation
bin101101100101110100011011…
…1001010110100110001100010
31221120220022221012222122220000
41123023220313022310301202
5410030321100113341002
63540522550145400430
7150316612355456106
oct13313506712646142
91846808835878800
10401022022012002
11106861536892106
1238b88907939116
131429c2a30a4711
1471057d8721906
153156782dc061c
hex16cba372b4c62

401022022012002 has 80 divisors (see below), whose sum is σ = 968950656828000. Its totient is φ = 123549788514240.

The previous prime is 401022022011991. The next prime is 401022022012049. The reversal of 401022022012002 is 200210220220104.

401022022012002 is a `hidden beast` number, since 40 + 1 + 0 + 220 + 2 + 201 + 200 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1588734252 + ... + 1588986647.

It is an arithmetic number, because the mean of its divisors is an integer number (12111883210350).

Almost surely, 2401022022012002 is an apocalyptic number.

401022022012002 is an abundant number, since it is smaller than the sum of its proper divisors (567928634815998).

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

401022022012002 is a wasteful number, since it uses less digits than its factorization.

401022022012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177720973 (or 3177720964 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 401022022012002 its reverse (200210220220104), we get a palindrome (601232242232106).

The spelling of 401022022012002 in words is "four hundred one trillion, twenty-two billion, twenty-two million, twelve thousand, two".

Divisors: 1 2 3 6 9 18 19 27 38 41 54 57 81 82 114 123 162 171 246 342 369 513 738 779 1026 1107 1539 1558 2214 2337 3078 3321 4674 6642 7011 14022 21033 42066 63099 126198 3177720899 6355441798 9533162697 19066325394 28599488091 57198976182 60376697081 85798464273 120753394162 130286556859 171596928546 181130091243 257395392819 260573113718 362260182486 390859670577 514790785638 543390273729 781719341154 1086780547458 1172579011731 1630170821187 2345158023462 2475444580321 3260341642374 3517737035193 4890512463561 4950889160642 7035474070386 7426333740963 9781024927122 10553211105579 14852667481926 21106422211158 22279001222889 44558002445778 66837003668667 133674007337334 200511011006001 401022022012002