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10211243133432 = 23311198324526919
BaseRepresentation
bin1001010010010111110110…
…0001010000100111111000
31100011012000002110021221010
42110211331201100213320
52314300111220232212
633414551430313520
72102511060350055
oct224457541204770
940135002407833
1010211243133432
1132876225a6830
12118b0107b88a0
13590bba87c173
142743264d002c
1512a94048103c
hex9497d8509f8

10211243133432 has 128 divisors (see below), whose sum is σ = 29667762432000. Its totient is φ = 2896138477440.

The previous prime is 10211243133401. The next prime is 10211243133461. The reversal of 10211243133432 is 23433134211201.

It is a self number, because there is not a number n which added to its sum of digits gives 10211243133432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11847132 + ... + 12679787.

It is an arithmetic number, because the mean of its divisors is an integer number (231779394000).

Almost surely, 210211243133432 is an apocalyptic number.

10211243133432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10211243133432 is an abundant number, since it is smaller than the sum of its proper divisors (19456519298568).

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

10211243133432 is a wasteful number, since it uses less digits than its factorization.

10211243133432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24527041 (or 24527037 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 10211243133432 its reverse (23433134211201), we get a palindrome (33644377344633).

The spelling of 10211243133432 in words is "ten trillion, two hundred eleven billion, two hundred forty-three million, one hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 83 88 114 132 152 166 209 228 249 264 332 418 456 498 627 664 836 913 996 1254 1577 1672 1826 1992 2508 2739 3154 3652 4731 5016 5478 6308 7304 9462 10956 12616 17347 18924 21912 34694 37848 52041 69388 104082 138776 208164 416328 24526919 49053838 73580757 98107676 147161514 196215352 269796109 294323028 466011461 539592218 588646056 809388327 932022922 1079184436 1398034383 1618776654 1864045844 2035734277 2158368872 2796068766 3237553308 3728091688 4071468554 5126126071 5592137532 6107202831 6475106616 8142937108 10252252142 11184275064 12214405662 15378378213 16285874216 20504504284 22393077047 24428811324 30756756426 38678951263 41009008568 44786154094 48857622648 61513512852 67179231141 77357902526 89572308188 116036853789 123027025704 134358462282 154715805052 179144616376 232073707578 268716924564 309431610104 425468463893 464147415156 537433849128 850936927786 928294830312 1276405391679 1701873855572 2552810783358 3403747711144 5105621566716 10211243133432