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103401152302144 = 26291373311228567
BaseRepresentation
bin10111100000101011110100…
…111100111100110001000000
3111120010001110002102012002211
4113200223310330330301000
5102023111024442132034
61003525500020151504
730531325642536664
oct2740536474746100
9446101402365084
10103401152302144
112aa462008a2974
12b71ba04838594
1345908c0c48068
141b768dcd428a4
15be4a7bb74d64
hex5e0af4f3cc40

103401152302144 has 112 divisors (see below), whose sum is σ = 214457552369280. Its totient is φ = 49403685703680.

The previous prime is 103401152302139. The next prime is 103401152302153. The reversal of 103401152302144 is 441203251104301.

It is a happy number.

It is a super-2 number, since 2×1034011523021442 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83549749 + ... + 84778315.

Almost surely, 2103401152302144 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 103401152302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107228776184640).

103401152302144 is an abundant number, since it is smaller than the sum of its proper divisors (111056400067136).

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

103401152302144 is a wasteful number, since it uses less digits than its factorization.

103401152302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229076 (or 1229066 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 103401152302144 in words is "one hundred three trillion, four hundred one billion, one hundred fifty-two million, three hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 137 232 274 331 464 548 662 928 1096 1324 1856 2192 2648 3973 4384 5296 7946 8768 9599 10592 15892 19198 21184 31784 38396 45347 63568 76792 90694 127136 153584 181388 254272 307168 362776 614336 725552 1228567 1315063 1451104 2457134 2630126 2902208 4914268 5260252 9828536 10520504 19657072 21041008 35628443 39314144 42082016 71256886 78628288 84164032 142513772 168313679 285027544 336627358 406655677 570055088 673254716 813311354 1140110176 1346509432 1626622708 2280220352 2693018864 3253245416 4881096691 5386037728 6506490832 9762193382 10772075456 11793014633 13012981664 19524386764 23586029266 26025963328 39048773528 47172058532 55711827749 78097547056 94344117064 111423655498 156195094112 188688234128 222847310996 312390188224 377376468256 445694621992 754752936512 891389243984 1615643004721 1782778487968 3231286009442 3565556975936 6462572018884 12925144037768 25850288075536 51700576151072 103401152302144