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125205515214 = 231341107367997
BaseRepresentation
bin111010010011011010…
…1001000101111001110
3102222011210021011221020
41310212311020233032
54022410102441324
6133304004415010
712021465214413
oct1644665105716
9388153234836
10125205515214
114911028180a
12203230a7466
13ba647b16a0
1460ba82410a
1533cbea5679
hex1d26d48bce

125205515214 has 128 divisors (see below), whose sum is σ = 279872796672. Its totient is φ = 37095183360.

The previous prime is 125205515203. The next prime is 125205515249. The reversal of 125205515214 is 412515502521.

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, 125581764 + ... + 125582760.

It is an arithmetic number, because the mean of its divisors is an integer number (2186506224).

Almost surely, 2125205515214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125205515214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139936398336).

125205515214 is an abundant number, since it is smaller than the sum of its proper divisors (154667281458).

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

125205515214 is a wasteful number, since it uses less digits than its factorization.

125205515214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530.

The product of its (nonzero) digits is 20000, while the sum is 33.

The spelling of 125205515214 in words is "one hundred twenty-five billion, two hundred five million, five hundred fifteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 13 26 39 41 78 82 107 123 214 246 321 367 533 642 734 997 1066 1101 1391 1599 1994 2202 2782 2991 3198 4173 4387 4771 5982 8346 8774 9542 12961 13161 14313 15047 25922 26322 28626 30094 38883 39269 40877 45141 57031 77766 78538 81754 90282 106679 114062 117807 122631 171093 195611 213358 235614 245262 320037 342186 365899 391222 510497 531401 586833 640074 731798 1020994 1062802 1097697 1173666 1386827 1531491 1594203 1610029 2195394 2773654 3062982 3188406 3220058 4160481 4373839 4756687 4830087 8320962 8747678 9513374 9660174 13121517 14270061 15001859 20930377 26243034 28540122 30003718 39151193 41860754 45005577 56859907 62791131 78302386 90011154 113719814 117453579 125582262 170579721 195024167 234907158 341159442 390048334 508965509 585072501 1017931018 1170145002 1526896527 1605198913 3053793054 3210397826 4815596739 9631193478 20867585869 41735171738 62602757607 125205515214