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102022135040 = 285711386399
BaseRepresentation
bin101111100000011111…
…1100011110100000000
3100202100002122110001002
41133000333203310000
53132420131310130
6114511320231132
710241126560640
oct1370077436400
9322302573032
10102022135040
113a2a3921091
121793300b4a8
13980b736c57
144d1b83c520
1529c1a20b45
hex17c0fe3d00

102022135040 has 72 divisors (see below), whose sum is σ = 279285619200. Its totient is φ = 34979014656.

The previous prime is 102022135021. The next prime is 102022135043. The reversal of 102022135040 is 40531220201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022135043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5684240 + ... + 5702159.

Almost surely, 2102022135040 is an apocalyptic number.

102022135040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022135040 is an abundant number, since it is smaller than the sum of its proper divisors (177263484160).

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

102022135040 is an equidigital number, since it uses as much as digits as its factorization.

102022135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11386427 (or 11386413 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 102022135040 its reverse (40531220201), we get a palindrome (142553355241).

The spelling of 102022135040 in words is "one hundred two billion, twenty-two million, one hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 11386399 22772798 45545596 56931995 79704793 91091192 113863990 159409586 182182384 227727980 318819172 364364768 398523965 455455960 637638344 728729536 797047930 910911920 1275276688 1457459072 1594095860 1821823840 2550553376 2914918144 3188191720 3643647680 5101106752 6376383440 7287295360 10202213504 12752766880 14574590720 20404427008 25505533760 51011067520 102022135040