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10204010030032 = 24713311032194879
BaseRepresentation
bin1001010001111100111001…
…1001001010001111010000
31100010111100000002120101121
42110133032121022033100
52314140303031430112
633411354004012024
72102133611111050
oct224371631121720
940114300076347
1010204010030032
11328455070a125
121189732391014
1359030719b520
14273c3ba15560
1512a66a46e407
hex947ce64a3d0

10204010030032 has 160 divisors (see below), whose sum is σ = 25361434542080. Its totient is φ = 3868604167680.

The previous prime is 10204010030003. The next prime is 10204010030051. The reversal of 10204010030032 is 23003001040201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10204010029988 and 10204010030015.

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, 3551569 + ... + 5746447.

It is an arithmetic number, because the mean of its divisors is an integer number (158508965888).

Almost surely, 210204010030032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10204010030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12680717271040).

10204010030032 is an abundant number, since it is smaller than the sum of its proper divisors (15157424512048).

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

10204010030032 is a wasteful number, since it uses less digits than its factorization.

10204010030032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195041 (or 2195035 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10204010030032 its reverse (23003001040201), we get a palindrome (33207011070233).

The spelling of 10204010030032 in words is "ten trillion, two hundred four billion, ten million, thirty thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 91 103 104 112 124 182 206 208 217 248 364 403 412 434 496 721 728 806 824 868 1339 1442 1456 1612 1648 1736 2678 2821 2884 3193 3224 3472 5356 5642 5768 6386 6448 9373 10712 11284 11536 12772 18746 21424 22351 22568 25544 37492 41509 44702 45136 51088 74984 83018 89404 149968 166036 178808 290563 332072 357616 581126 664144 1162252 2194879 2324504 4389758 4649008 8779516 15364153 17559032 28533427 30728306 35118064 57066854 61456612 68041249 114133708 122913224 136082498 199733989 226072537 228267416 245826448 272164996 399467978 452145074 456534832 476288743 544329992 798935956 884536237 904290148 952577486 1088659984 1582507759 1597871912 1769072474 1808580296 1905154972 2938942981 3165015518 3195743824 3538144948 3617160592 3810309944 5877885962 6191753659 6330031036 7008248647 7076289896 7620619888 11755771924 12383507318 12660062072 14016497294 14152579792 20572600867 23511543848 24767014636 25320124144 28032994588 41145201734 47023087696 49057740529 49534029272 56065989176 82290403468 91107232411 98115481058 99068058544 112131978352 164580806936 182214464822 196230962116 329161613872 364428929644 392461924232 637750626877 728857859288 784923848464 1275501253754 1457715718576 2551002507508 5102005015016 10204010030032