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103031211312232 = 2378979733917649
BaseRepresentation
bin10111011011010011010010…
…110000000100010001101000
3111111210200120021011202002221
4113123103102300010101220
5102001030410043442412
61003043515101003424
730462521315156620
oct2733232260042150
9444720507152087
10103031211312232
112a913322849775
12b680180253574
134564a55c93328
141b62a46d89880
15bda12915eb07
hex5db4d2c04468

103031211312232 has 128 divisors (see below), whose sum is σ = 223637137920000. Its totient is φ = 43586757181440.

The previous prime is 103031211312221. The next prime is 103031211312257. The reversal of 103031211312232 is 232213112130301.

It is a junction number, because it is equal to n+sod(n) for n = 103031211312197 and 103031211312206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13469889144 + ... + 13469896792.

It is an arithmetic number, because the mean of its divisors is an integer number (1747165140000).

Almost surely, 2103031211312232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103031211312232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111818568960000).

103031211312232 is an abundant number, since it is smaller than the sum of its proper divisors (120605926607768).

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

103031211312232 is a wasteful number, since it uses less digits than its factorization.

103031211312232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11939 (or 11935 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 103031211312232 its reverse (232213112130301), we get a palindrome (335244323442533).

The spelling of 103031211312232 in words is "one hundred three trillion, thirty-one billion, two hundred eleven million, three hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 89 178 356 623 712 797 1246 1594 2492 3188 3391 4984 5579 6376 6782 7649 11158 13564 15298 22316 23737 27128 30596 44632 47474 53543 61192 70933 94948 107086 141866 189896 214172 283732 301799 428344 496531 567464 603598 680761 993062 1207196 1361522 1986124 2112593 2414392 2702627 2723044 3972248 4225186 4765327 5405254 5446088 6096253 8450372 9530654 10810508 12192506 16900744 18918389 19061308 21621016 24385012 25937759 37836778 38122616 42673771 48770024 51875518 75673556 85347542 103751036 151347112 170695084 181564313 207502072 240533803 341390168 363128626 481067606 542566517 726257252 962135212 1085133034 1452514504 1683736621 1924270424 2170266068 2308460551 3367473242 3797965619 4340532136 4616921102 6734946484 7595931238 9233842204 13469892968 15191862476 16159223857 18467684408 20672393923 30383724952 32318447714 41344787846 64636895428 82689575692 129273790856 144706757461 165379151384 289413514922 578827029844 1157654059688 1839843059147 3679686118294 7359372236588 12878901414029 14718744473176 25757802828058 51515605656116 103031211312232