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2151000312100 = 2252237322756437
BaseRepresentation
bin11111010011010001100…
…111000000100100100100
321121122002220120111001221
4133103101213000210210
5240220222034441400
64324053401430124
7311255535660103
oct37232147004444
97548086514057
102151000312100
1175a263666252
122a8a6579b344
13127ab912ca83
147617503003a
153ae44800c1a
hex1f4d19c0924

2151000312100 has 144 divisors (see below), whose sum is σ = 4959171842688. Its totient is φ = 808127400960.

The previous prime is 2151000312073. The next prime is 2151000312101. The reversal of 2151000312100 is 12130001512.

It is not an unprimeable number, because it can be changed into a prime (2151000312101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38085082 + ... + 38141518.

It is an arithmetic number, because the mean of its divisors is an integer number (34438693352).

Almost surely, 22151000312100 is an apocalyptic number.

2151000312100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2151000312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479585921344).

2151000312100 is an abundant number, since it is smaller than the sum of its proper divisors (2808171530588).

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

2151000312100 is a wasteful number, since it uses less digits than its factorization.

2151000312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56774 (or 56767 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

Adding to 2151000312100 its reverse (12130001512), we get a palindrome (2163130313612).

The spelling of 2151000312100 in words is "two trillion, one hundred fifty-one billion, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 73 92 100 115 146 227 230 292 365 454 460 575 730 908 1135 1150 1460 1679 1825 2270 2300 3358 3650 4540 5221 5675 6716 7300 8395 10442 11350 16571 16790 20884 22700 26105 33142 33580 41975 52210 56437 66284 82855 83950 104420 112874 130525 165710 167900 225748 261050 282185 331420 381133 414275 522100 564370 762266 828550 1128740 1298051 1410925 1524532 1657100 1905665 2596102 2821850 3811330 4119901 5192204 5643700 6490255 7622660 8239802 9528325 12811199 12980510 16479604 19056650 20599505 25622398 25961020 32451275 38113300 41199010 51244796 64055995 64902550 82398020 94757723 102997525 128111990 129805100 189515446 205995050 256223980 294657577 320279975 379030892 411990100 473788615 589315154 640559950 935217527 947577230 1178630308 1281119900 1473287885 1870435054 1895154460 2368943075 2946575770 3740870108 4676087635 4737886150 5893151540 7366439425 9352175270 9475772300 14732878850 18704350540 21510003121 23380438175 29465757700 43020006242 46760876350 86040012484 93521752700 107550015605 215100031210 430200062420 537750078025 1075500156050 2151000312100