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102103002311331 = 3759373220931873
BaseRepresentation
bin10111001101110010110101…
…001011101110101010100011
3111101111221200210011221101110
4113031302311023232222203
5101340323422042430311
61001053245520434403
730335461402636140
oct2715626513565243
9441457623157343
10102103002311331
112a595704a91a9a
12b5502b4a78a03
1344c836c200318
141b2db5136b3c7
15bc0e003858a6
hex5cdcb52eeaa3

102103002311331 has 32 divisors (see below), whose sum is σ = 158646760081920. Its totient is φ = 57201912843264.

The previous prime is 102103002311287. The next prime is 102103002311353. The reversal of 102103002311331 is 133113200301201.

It is a happy number.

It is not a de Polignac number, because 102103002311331 - 233 = 102094412376739 is a prime.

It is a super-2 number, since 2×1021030023113312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 102103002311298 and 102103002311307.

It is not an unprimeable number, because it can be changed into a prime (102103002311371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110003790 + ... + 110928083.

It is an arithmetic number, because the mean of its divisors is an integer number (4957711252560).

Almost surely, 2102103002311331 is an apocalyptic number.

102103002311331 is a deficient number, since it is larger than the sum of its proper divisors (56543757770589).

102103002311331 is a wasteful number, since it uses less digits than its factorization.

102103002311331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220932315.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 102103002311331 its reverse (133113200301201), we get a palindrome (235216202612532).

The spelling of 102103002311331 in words is "one hundred two trillion, one hundred three billion, two million, three hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 7 21 59 177 373 413 1119 1239 2611 7833 22007 66021 154049 462147 220931873 662795619 1546523111 4639569333 13034980507 39104941521 82407588629 91244863549 247222765887 273734590647 576853120403 1730559361209 4862047729111 14586143187333 34034334103777 102103002311331