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102120102023310 = 23257295589496553
BaseRepresentation
bin10111001110000010110000…
…011001111101000010001110
3111101120120211111022022102100
4113032002300121331002032
5101341113432104221220
61001105154402535530
730336635220042630
oct2716026031750216
9441516744268370
10102120102023310
112a5a198a365768
12b5536876675a6
1344c9b65a660a7
141b308d43a4a50
15bc15a16a6d90
hex5ce0b067d08e

102120102023310 has 96 divisors (see below), whose sum is σ = 313906126472640. Its totient is φ = 22536850097664.

The previous prime is 102120102023297. The next prime is 102120102023323. The reversal of 102120102023310 is 13320201021201.

102120102023310 is a `hidden beast` number, since 1 + 0 + 2 + 120 + 10 + 202 + 331 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102120102023297) and next prime (102120102023323).

It is a super-2 number, since 2×1021201020233102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 2794730007 + ... + 2794766546.

It is an arithmetic number, because the mean of its divisors is an integer number (3269855484090).

Almost surely, 2102120102023310 is an apocalyptic number.

102120102023310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102120102023310 is an abundant number, since it is smaller than the sum of its proper divisors (211786024449330).

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

102120102023310 is a wasteful number, since it uses less digits than its factorization.

102120102023310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5589496602 (or 5589496599 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102120102023310 its reverse (13320201021201), we get a palindrome (115440303044511).

The spelling of 102120102023310 in words is "one hundred two trillion, one hundred twenty billion, one hundred two million, twenty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 29 30 35 42 45 58 63 70 87 90 105 126 145 174 203 210 261 290 315 406 435 522 609 630 870 1015 1218 1305 1827 2030 2610 3045 3654 6090 9135 18270 5589496553 11178993106 16768489659 27947482765 33536979318 39126475871 50305468977 55894965530 78252951742 83842448295 100610937954 117379427613 162095400037 167684896590 195632379355 234758855226 251527344885 324190800074 352138282839 391264758710 486286200111 503054689770 586897138065 704276565678 810477000185 972572400222 1134667800259 1173794276130 1458858600333 1620954000370 1760691414195 2269335600518 2431431000555 2917717200666 3404003400777 3521382828390 4862862001110 5673339001295 6808006801554 7294293001665 10212010202331 11346678002590 14588586003330 17020017003885 20424020404662 34040034007770 51060051011655 102120102023310