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102214001414 = 27238917092087
BaseRepresentation
bin101111100110001101…
…1011110001100000110
3100202211110200021020002
41133030123132030012
53133313241021124
6114542332441302
710245646451060
oct1371433361406
9322743607202
10102214001414
113a392159138
1217987319232
13983c404055
144d39104730
1529d37c00ae
hex17cc6de306

102214001414 has 64 divisors (see below), whose sum is σ = 185093683200. Its totient is φ = 41386507008.

The previous prime is 102214001399. The next prime is 102214001459. The reversal of 102214001414 is 414100412201.

It is a super-2 number, since 2×1022140014142 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48975479 + ... + 48977565.

It is an arithmetic number, because the mean of its divisors is an integer number (2892088800).

Almost surely, 2102214001414 is an apocalyptic number.

102214001414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102214001414 is a deficient number, since it is larger than the sum of its proper divisors (82879681786).

102214001414 is a wasteful number, since it uses less digits than its factorization.

102214001414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3917.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 102214001414 its reverse (414100412201), we get a palindrome (516314413615).

The spelling of 102214001414 in words is "one hundred two billion, two hundred fourteen million, one thousand, four hundred fourteen".

Divisors: 1 2 7 14 23 46 89 161 178 322 623 1246 1709 2047 2087 3418 4094 4174 11963 14329 14609 23926 28658 29218 39307 48001 78614 96002 152101 185743 275149 304202 336007 371486 550298 672014 1064707 1300201 2129414 2600402 3498323 3566683 4272089 6996646 7133366 8544178 24488261 24966781 29904623 48976522 49933562 59809246 82033709 164067418 317434787 574235963 634869574 1148471926 2222043509 4444087018 7301000101 14602000202 51107000707 102214001414