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10323113012130 = 23517533531081907
BaseRepresentation
bin1001011000111000100101…
…1110111110101110100010
31100112212202111100221122210
42112032021132332232202
52323113213412342010
633542212254142550
72113551235544652
oct226161136765642
940485674327583
1010323113012130
11332000a199436
1211a88317b1a56
1359b608594669
142798d9b7a362
1512d7db7d6b20
hex963897beba2

10323113012130 has 128 divisors (see below), whose sum is σ = 26803552313088. Its totient is φ = 2534810550272.

The previous prime is 10323113012117. The next prime is 10323113012131. The reversal of 10323113012130 is 3121031132301.

It is a happy number.

It is a super-2 number, since 2×103231130121302 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10323113012097 and 10323113012106.

It is not an unprimeable number, because it can be changed into a prime (10323113012131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9000637 + ... + 10082543.

It is an arithmetic number, because the mean of its divisors is an integer number (209402752446).

Almost surely, 210323113012130 is an apocalyptic number.

10323113012130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10323113012130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13401776156544).

10323113012130 is an abundant number, since it is smaller than the sum of its proper divisors (16480439300958).

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

10323113012130 is a wasteful number, since it uses less digits than its factorization.

10323113012130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082340.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10323113012130 its reverse (3121031132301), we get a palindrome (13444144144431).

The spelling of 10323113012130 in words is "ten trillion, three hundred twenty-three billion, one hundred thirteen million, twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 53 85 102 106 159 170 255 265 318 353 510 530 706 795 901 1059 1590 1765 1802 2118 2703 3530 4505 5295 5406 6001 9010 10590 12002 13515 18003 18709 27030 30005 36006 37418 56127 60010 90015 93545 112254 180030 187090 280635 318053 561270 636106 954159 1081907 1590265 1908318 2163814 3180530 3245721 4770795 5409535 6491442 9541590 10819070 16228605 18392419 32457210 36784838 55177257 57341071 91962095 110354514 114682142 172023213 183924190 275886285 286705355 344046426 381913171 551772570 573410710 763826342 860116065 974798207 1145739513 1720232130 1909565855 1949596414 2291479026 2924394621 3819131710 4873991035 5728697565 5848789242 6492523907 9747982070 11457395130 12985047814 14621973105 19477571721 20241398063 29243946210 32462619535 38955143442 40482796126 60724194189 64925239070 97387858605 101206990315 121448388378 194775717210 202413980630 303620970945 344103767071 607241941890 688207534142 1032311301213 1720518835355 2064622602426 3441037670710 5161556506065 10323113012130