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31302321102 = 23313177136943
BaseRepresentation
bin11101001001110000…
…111000001111001110
32222210111211200002000
4131021300320033032
51003101343233402
622214033213130
72155462224243
oct351160701716
988714750060
1031302321102
1112303387168
1260971011a6
132c4b1336c0
14172d3b15ca
15c33126c1c
hex749c383ce

31302321102 has 128 divisors (see below), whose sum is σ = 80437432320. Its totient is φ = 8937008640.

The previous prime is 31302321079. The next prime is 31302321131. The reversal of 31302321102 is 20112320313.

31302321102 is a `hidden beast` number, since 31 + 302 + 321 + 10 + 2 = 666.

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 63 ways as a sum of consecutive naturals, for example, 828843 + ... + 865785.

It is an arithmetic number, because the mean of its divisors is an integer number (628417440).

Almost surely, 231302321102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31302321102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40218716160).

31302321102 is an abundant number, since it is smaller than the sum of its proper divisors (49135111218).

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

31302321102 is a wasteful number, since it uses less digits than its factorization.

31302321102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37055 (or 37049 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31302321102 its reverse (20112320313), we get a palindrome (51414641415).

It can be divided in two parts, 3130 and 2321102, that added together give a palindrome (2324232).

The spelling of 31302321102 in words is "thirty-one billion, three hundred two million, three hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 71 78 102 117 142 153 213 221 234 306 351 426 442 459 639 663 702 918 923 1207 1278 1326 1846 1917 1989 2414 2769 3621 3834 3978 5538 5967 7242 8307 10863 11934 15691 16614 21726 24921 31382 32589 36943 47073 49842 65178 73886 94146 110829 141219 221658 282438 332487 423657 480259 628031 664974 847314 960518 997461 1256062 1440777 1884093 1994922 2622953 2881554 3768186 4322331 5245906 5652279 7868859 8164403 8644662 11304558 12966993 15737718 16328806 16956837 23606577 24493209 25933986 33913674 34098389 44590201 47213154 48986418 68196778 70819731 73479627 89180402 102295167 133770603 141639462 146959254 204590334 220438881 267541206 306885501 401311809 440877762 579672613 613771002 802623618 920656503 1159345226 1203935427 1739017839 1841313006 2407870854 3478035678 5217053517 10434107034 15651160551 31302321102