Search a number
-
+
102212111022021 = 327211132935531719
BaseRepresentation
bin10111001111011000011100…
…100100011011011111000101
3111101220101022202110201200100
4113033120130210123133011
5101344120400410201041
61001215332351034313
730346403252450400
oct2717303444333705
9441811282421610
10102212111022021
112a627a0500a270
12b56948520b999
134505739b635b0
141b35142020d37
15bc3b890c26b6
hex5cf61c91b7c5

102212111022021 has 144 divisors (see below), whose sum is σ = 202458031251840. Its totient is φ = 48845512477440.

The previous prime is 102212111022019. The next prime is 102212111022023. The reversal of 102212111022021 is 120220111212201.

102212111022021 is a `hidden beast` number, since 1 + 0 + 221 + 211 + 10 + 220 + 2 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (102212111022019) and next prime (102212111022023).

It is not a de Polignac number, because 102212111022021 - 21 = 102212111022019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102212111021985 and 102212111022003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212111022023) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15711600 + ... + 21243318.

It is an arithmetic number, because the mean of its divisors is an integer number (1405958550360).

Almost surely, 2102212111022021 is an apocalyptic number.

102212111022021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102212111022021 is a deficient number, since it is larger than the sum of its proper divisors (100245920229819).

102212111022021 is a wasteful number, since it uses less digits than its factorization.

102212111022021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5532056 (or 5532046 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102212111022021 its reverse (120220111212201), we get a palindrome (222432222234222).

The spelling of 102212111022021 in words is "one hundred two trillion, two hundred twelve billion, one hundred eleven million, twenty-two thousand, twenty-one".

Divisors: 1 3 7 9 11 13 21 33 39 49 63 77 91 99 117 143 147 231 273 293 429 441 539 637 693 819 879 1001 1287 1617 1911 2051 2637 3003 3223 3809 4851 5733 6153 7007 9009 9669 11427 14357 18459 21021 22561 26663 29007 34281 41899 43071 63063 67683 79989 125697 129213 157927 186641 203049 239967 293293 377091 473781 559923 879879 1421343 1679769 2053051 2639637 5531719 6159153 16595157 18477459 38722033 49785471 60848909 71912347 116166099 182546727 215737041 271054231 348498297 425942363 503386429 547640181 647211123 791035817 813162693 1277827089 1510159287 1620793667 2373107451 2439488079 2981596541 3523705003 3833481267 4530477861 4862381001 5537250719 7119322353 8944789623 10571115009 11345555669 14587143003 16611752157 17828730337 21070317671 26834368869 31713345027 34036667007 38760755033 49835256471 53486191011 63210953013 79418889683 102110001021 116282265099 124801112359 147492223697 160458573033 189632859039 231773494381 238256669049 348846795297 374403337077 442476671091 695320483143 714770007147 873607786513 1032445565879 1123210011231 1327430013273 1622414460667 2085961449429 2620823359539 3097336697637 4867243382001 7862470078617 9292010092911 11356901224669 14601730146003 34070703674007 102212111022021