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10132202144020 = 2251193749152043
BaseRepresentation
bin1001001101110001011001…
…0011110100000100010100
31022212121222120220000010211
42103130112103310010110
52312001222222102040
633314400331455204
72064012262130515
oct223342623640424
938777876800124
1010132202144020
113257051a67590
121177831bb7504
13586602332548
14270588c72a0c
151288662988ea
hex937164f4114

10132202144020 has 48 divisors (see below), whose sum is σ = 23236727105088. Its totient is φ = 3680504904960.

The previous prime is 10132202144017. The next prime is 10132202144047. The reversal of 10132202144020 is 2044120223101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10132202143982 and 10132202144000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24369882 + ... + 24782161.

It is an arithmetic number, because the mean of its divisors is an integer number (484098481356).

Almost surely, 210132202144020 is an apocalyptic number.

10132202144020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132202144020 is an abundant number, since it is smaller than the sum of its proper divisors (13104524961068).

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

10132202144020 is a wasteful number, since it uses less digits than its factorization.

10132202144020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49153000 (or 49152998 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10132202144020 its reverse (2044120223101), we get a palindrome (12176322367121).

The spelling of 10132202144020 in words is "ten trillion, one hundred thirty-two billion, two hundred two million, one hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 937 1874 3748 4685 9370 10307 18740 20614 41228 51535 103070 206140 49152043 98304086 196608172 245760215 491520430 540672473 983040860 1081344946 2162689892 2703362365 5406724730 10813449460 46055464291 92110928582 184221857164 230277321455 460554642910 506610107201 921109285820 1013220214402 2026440428804 2533050536005 5066101072010 10132202144020