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103056564642 = 231943179257457
BaseRepresentation
bin101111111111010100…
…1100110000110100010
3100212000012002220200120
41133332221212012202
53142024440032032
6115202111501110
710305560226453
oct1377651460642
9325005086616
10103056564642
113a784820389
1217b81527796
139944b3a385
144db8d8d12a
152a3275362c
hex17fea661a2

103056564642 has 128 divisors (see below), whose sum is σ = 224606131200. Its totient is φ = 31417860096.

The previous prime is 103056564629. The next prime is 103056564643. The reversal of 103056564642 is 246465650301.

It is a junction number, because it is equal to n+sod(n) for n = 103056564594 and 103056564603.

It is not an unprimeable number, because it can be changed into a prime (103056564643) 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, 225506478 + ... + 225506934.

It is an arithmetic number, because the mean of its divisors is an integer number (1754735400).

Almost surely, 2103056564642 is an apocalyptic number.

103056564642 is an abundant number, since it is smaller than the sum of its proper divisors (121549566558).

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

103056564642 is a wasteful number, since it uses less digits than its factorization.

103056564642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960.

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 103056564642 in words is "one hundred three billion, fifty-six million, five hundred sixty-four thousand, six hundred forty-two".

Divisors: 1 2 3 6 19 38 43 57 86 114 129 179 257 258 358 457 514 537 771 817 914 1074 1371 1542 1634 2451 2742 3401 4883 4902 6802 7697 8683 9766 10203 11051 14649 15394 17366 19651 20406 22102 23091 26049 29298 33153 39302 46003 46182 52098 58953 66306 81803 92006 117449 117906 138009 146243 163606 209969 234898 245409 276018 292486 352347 373369 419938 438729 490818 629907 704694 746738 874057 877458 1120107 1259814 1554257 1748114 1978129 2231531 2240214 2622171 3108514 3517529 3956258 4463062 4662771 5050307 5244342 5934387 6694593 7035058 9325542 10100614 10552587 11868774 13389186 15150921 21023371 21105174 30301842 37584451 42046742 63070113 66833051 75168902 95955833 112753353 126140226 133666102 191911666 200499153 225506706 287867499 399444049 400998306 575734998 798888098 904004953 1198332147 1808009906 2396664294 2712014859 5424029718 17176094107 34352188214 51528282321 103056564642