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2100427234332 = 2237174731295477
BaseRepresentation
bin11110100100001011001…
…110000001110000011100
321102210120101101221112120
4132210023032001300130
5233403133332444312
64244531205102540
7304515354624510
oct36441316016034
97383511357476
102100427234332
1173a871463409
1229b0b09b7a50
131230b972c59b
1473938564140
15399849aa28c
hex1e90b381c1c

2100427234332 has 96 divisors (see below), whose sum is σ = 6056801630208. Its totient is φ = 552803288064.

The previous prime is 2100427234307. The next prime is 2100427234337. The reversal of 2100427234332 is 2334327240012.

It is a junction number, because it is equal to n+sod(n) for n = 2100427234293 and 2100427234302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100427234337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15580623 + ... + 15714854.

It is an arithmetic number, because the mean of its divisors is an integer number (63091683648).

Almost surely, 22100427234332 is an apocalyptic number.

It is an amenable number.

2100427234332 is an abundant number, since it is smaller than the sum of its proper divisors (3956374395876).

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

2100427234332 is a wasteful number, since it uses less digits than its factorization.

2100427234332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31295555 (or 31295553 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 33.

The spelling of 2100427234332 in words is "two trillion, one hundred billion, four hundred twenty-seven million, two hundred thirty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 47 51 68 84 94 102 119 141 188 204 238 282 329 357 476 564 658 714 799 987 1316 1428 1598 1974 2397 3196 3948 4794 5593 9588 11186 16779 22372 33558 67116 31295477 62590954 93886431 125181908 187772862 219068339 375545724 438136678 532023109 657205017 876273356 1064046218 1314410034 1470887419 1596069327 2128092436 2628820068 2941774838 3192138654 3724161763 4412662257 5883549676 6384277308 7448323526 8825324514 10296211933 11172485289 14896647052 17650649028 20592423866 22344970578 25005086123 30888635799 41184847732 44689941156 50010172246 61777271598 75015258369 100020344492 123554543196 150030516738 175035602861 300061033476 350071205722 525106808583 700142411444 1050213617166 2100427234332