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131001237400 = 235211271219727
BaseRepresentation
bin111101000000001001…
…0000011111110011000
3110112010200221101010111
41322000102003332120
54121242304044100
6140103043054104
712315222100555
oct1720022037630
9415120841114
10131001237400
1150614868660
1221480071334
13c479455cb7
1464aa459a2c
15361abdb6ba
hex1e80483f98

131001237400 has 96 divisors (see below), whose sum is σ = 333494369280. Its totient is φ = 47460816000.

The previous prime is 131001237391. The next prime is 131001237491. The reversal of 131001237400 is 4732100131.

It is a super-2 number, since 2×1310012374002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 486337 + ... + 706063.

It is an arithmetic number, because the mean of its divisors is an integer number (3473899680).

Almost surely, 2131001237400 is an apocalyptic number.

131001237400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131001237400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166747184640).

131001237400 is an abundant number, since it is smaller than the sum of its proper divisors (202493131880).

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

131001237400 is a wasteful number, since it uses less digits than its factorization.

131001237400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220025 (or 220016 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

Adding to 131001237400 its reverse (4732100131), we get a palindrome (135733337531).

The spelling of 131001237400 in words is "one hundred thirty-one billion, one million, two hundred thirty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 271 275 440 542 550 1084 1100 1355 2168 2200 2710 2981 5420 5962 6775 10840 11924 13550 14905 23848 27100 29810 54200 59620 74525 119240 149050 219727 298100 439454 596200 878908 1098635 1757816 2197270 2416997 4394540 4833994 5493175 8789080 9667988 10986350 12084985 19335976 21972700 24169970 43945400 48339940 59546017 60424925 96679880 119092034 120849850 238184068 241699700 297730085 476368136 483399400 595460170 655006187 1190920340 1310012374 1488650425 2381840680 2620024748 2977300850 3275030935 5240049496 5954601700 6550061870 11909203400 13100123740 16375154675 26200247480 32750309350 65500618700 131001237400