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131022004102 = 21123372732591
BaseRepresentation
bin111101000000110000…
…1010001111110000110
3110112012011000102200121
41322001201101332012
54121313113112402
6140105104132154
712315563442103
oct1720141217606
9415164012617
10131022004102
1150625561a20
122148700705a
13c4808473a2
1464ad103aaa
15361c93e837
hex1e81851f86

131022004102 has 96 divisors (see below), whose sum is σ = 233171011584. Its totient is φ = 54646099200.

The previous prime is 131022004073. The next prime is 131022004103. The reversal of 131022004102 is 201400220131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131022004103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50566827 + ... + 50569417.

It is an arithmetic number, because the mean of its divisors is an integer number (2428864704).

Almost surely, 2131022004102 is an apocalyptic number.

131022004102 is a deficient number, since it is larger than the sum of its proper divisors (102149007482).

131022004102 is a wasteful number, since it uses less digits than its factorization.

131022004102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 131022004102 its reverse (201400220131), we get a palindrome (332422224233).

The spelling of 131022004102 in words is "one hundred thirty-one billion, twenty-two million, four thousand, one hundred two".

Divisors: 1 2 11 22 23 37 46 73 74 146 253 407 506 803 814 851 1369 1606 1679 1702 2591 2701 2738 3358 5182 5402 9361 15059 18469 18722 28501 29711 30118 31487 36938 57002 59422 59593 62123 62974 95867 99937 119186 124246 189143 191734 199874 346357 378286 655523 683353 692714 1054537 1099307 1311046 1366706 2080573 2109074 2198614 2204941 2298551 3547079 4161146 4350289 4409882 4597102 6998291 7094158 8700578 13996582 24254351 25284061 39017869 47853179 48508702 50568122 76981201 78035738 81582817 95706358 153962402 160960693 163165634 258936767 321921386 517873534 897410987 1770567623 1794821974 2848304437 3541135246 5696608874 5955545641 11911091282 65511002051 131022004102