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102203023011000 = 23353179190322203
BaseRepresentation
bin10111001111001111111110…
…111000011010110010111000
3111101212111212101202221020120
4113033033332320122302320
5101343443242342323000
61001211230503253240
730345632120566422
oct2717177670326270
9441774771687216
10102203023011000
112a62407107605a
12b56776974a220
13450491c0a9792
141b3491d059812
15bc380630d6a0
hex5cf3fee1acb8

102203023011000 has 128 divisors (see below), whose sum is σ = 320654849299200. Its totient is φ = 27101881564800.

The previous prime is 102203023010987. The next prime is 102203023011029. The reversal of 102203023011000 is 110320302201.

It is a super-2 number, since 2×1022030230110002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94624102 + ... + 95698101.

It is an arithmetic number, because the mean of its divisors is an integer number (2505116010150).

Almost surely, 2102203023011000 is an apocalyptic number.

102203023011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102203023011000 is an abundant number, since it is smaller than the sum of its proper divisors (218451826288200).

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

102203023011000 is a wasteful number, since it uses less digits than its factorization.

102203023011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190322406 (or 190322392 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102203023011000 its reverse (110320302201), we get a palindrome (102313343313201).

The spelling of 102203023011000 in words is "one hundred two trillion, two hundred three billion, twenty-three million, eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 179 200 250 300 358 375 500 537 600 716 750 895 1000 1074 1432 1500 1790 2148 2685 3000 3580 4296 4475 5370 7160 8950 10740 13425 17900 21480 22375 26850 35800 44750 53700 67125 89500 107400 134250 179000 268500 537000 190322203 380644406 570966609 761288812 951611015 1141933218 1522577624 1903222030 2283866436 2854833045 3806444060 4567732872 4758055075 5709666090 7612888120 9516110150 11419332180 14274165225 19032220300 22838664360 23790275375 28548330450 34067674337 38064440600 47580550750 57096660900 68135348674 71370826125 95161101500 102203023011 114193321800 136270697348 142741652250 170338371685 190322203000 204406046022 272541394696 285483304500 340676743370 408812092044 511015115055 570966609000 681353486740 817624184088 851691858425 1022030230110 1362706973480 1703383716850 2044060460220 2555075575275 3406767433700 4088120920440 4258459292125 5110151150550 6813534867400 8516918584250 10220302301100 12775377876375 17033837168500 20440604602200 25550755752750 34067674337000 51101511505500 102203023011000