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1302423313100 = 2252713643222587
BaseRepresentation
bin10010111100111110011…
…110101001101011001100
311121111210010020111212012
4102330332132221223030
5132314330332004400
62434154111400352
7163045156333220
oct22747636515314
94544703214765
101302423313100
1146239a008198
12190502b230b8
1395a83186510
1447075356780
1523d2ba53d35
hex12f3e7a9acc

1302423313100 has 144 divisors (see below), whose sum is σ = 3483897516288. Its totient is φ = 411552610560.

The previous prime is 1302423313063. The next prime is 1302423313117. The reversal of 1302423313100 is 13133242031.

It is a super-2 number, since 2×13024233131002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5740007 + ... + 5962593.

It is an arithmetic number, because the mean of its divisors is an integer number (24193732752).

Almost surely, 21302423313100 is an apocalyptic number.

1302423313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1302423313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741948758144).

1302423313100 is an abundant number, since it is smaller than the sum of its proper divisors (2181474203188).

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

1302423313100 is a wasteful number, since it uses less digits than its factorization.

1302423313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223264 (or 223257 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 1302423313100 its reverse (13133242031), we get a palindrome (1315556555131).

The spelling of 1302423313100 in words is "one trillion, three hundred two billion, four hundred twenty-three million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 643 650 700 910 1286 1300 1820 2275 2572 3215 4501 4550 6430 8359 9002 9100 12860 16075 16718 18004 22505 32150 33436 41795 45010 58513 64300 83590 90020 112525 117026 167180 208975 222587 225050 234052 292565 417950 445174 450100 585130 835900 890348 1112935 1170260 1462825 1558109 2225870 2893631 2925650 3116218 4451740 5564675 5787262 5851300 6232436 7790545 11129350 11574524 14468155 15581090 20255417 22258700 28936310 31162180 38952725 40510834 57872620 72340775 77905450 81021668 101277085 143123441 144681550 155810900 202554170 286246882 289363100 405108340 506385425 572493764 715617205 1001864087 1012770850 1431234410 1860604733 2003728174 2025541700 2862468820 3578086025 3721209466 4007456348 5009320435 7156172050 7442418932 9303023665 10018640870 13024233131 14312344100 18606047330 20037281740 25046602175 26048466262 37212094660 46515118325 50093204350 52096932524 65121165655 93030236650 100186408700 130242331310 186060473300 260484662620 325605828275 651211656550 1302423313100