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10032100231023 = 32131967139484577
BaseRepresentation
bin1001000111111100011111…
…0001010100011101101111
31022112001121022110221112200
42101333013301110131233
52303331220124343043
633200403324232543
72053536536661543
oct221770761243557
938461538427480
1010032100231023
113218654053772
12116035609b753
1357a03b68c670
142697b0483a23
15125e5812c7d3
hex91fc7c5476f

10032100231023 has 96 divisors (see below), whose sum is σ = 16791984518400. Its totient is φ = 5719919597568.

The previous prime is 10032100231019. The next prime is 10032100231031. The reversal of 10032100231023 is 32013200123001.

10032100231023 is a `hidden beast` number, since 10 + 0 + 321 + 0 + 0 + 2 + 310 + 23 = 666.

It is not a de Polignac number, because 10032100231023 - 22 = 10032100231019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10032100230987 and 10032100231005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032100231003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20460511 + ... + 20945087.

It is an arithmetic number, because the mean of its divisors is an integer number (174916505400).

Almost surely, 210032100231023 is an apocalyptic number.

10032100231023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10032100231023 is a deficient number, since it is larger than the sum of its proper divisors (6759884287377).

10032100231023 is a wasteful number, since it uses less digits than its factorization.

10032100231023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484821 (or 484818 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10032100231023 its reverse (32013200123001), we get a palindrome (42045300354024).

The spelling of 10032100231023 in words is "ten trillion, thirty-two billion, one hundred million, two hundred thirty-one thousand, twenty-three".

Divisors: 1 3 9 13 19 39 57 67 117 139 171 201 247 417 603 741 871 1251 1273 1807 2223 2613 2641 3819 5421 7839 7923 9313 11457 16263 16549 23769 27939 34333 49647 83817 102999 121069 148941 176947 308997 363207 484577 530841 1089621 1453731 1592523 2300311 4361193 6299501 6900933 9206963 18898503 20702799 27620889 32466659 56695509 67356203 82862667 97399977 119690519 202068609 292199931 359071557 422066567 606205827 616866521 875630639 1077214671 1266199701 1279767857 1850599563 2626891917 3798599103 3839303571 4512865601 5551798689 7880675751 8019264773 11517910713 13538596803 16636982141 24057794319 40615790409 49910946423 58667252813 72173382957 85744446419 149732839269 176001758439 257233339257 528005275317 771700017771 1114677803447 3344033410341 10032100231023