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100023313001100 = 223522323537615887
BaseRepresentation
bin10110101111100001111110…
…000010100110101010001100
3111010011010122122211200122220
4112233201332002212222030
5101102240221112013400
6552422024201135340
730032305640320416
oct2657417602465214
9433133578750586
10100023313001100
112996371564aa35
12b27523118a550
1343a7209005758
141a9b2230d99b6
15b86c8130a7a0
hex5af87e0a6a8c

100023313001100 has 144 divisors (see below), whose sum is σ = 301996748971008. Its totient is φ = 25512067496960.

The previous prime is 100023313001083. The next prime is 100023313001191. The reversal of 100023313001100 is 1100313320001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100023313001100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162097357 + ... + 162713243.

It is an arithmetic number, because the mean of its divisors is an integer number (2097199645632).

Almost surely, 2100023313001100 is an apocalyptic number.

100023313001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100023313001100 is an abundant number, since it is smaller than the sum of its proper divisors (201973435969908).

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

100023313001100 is a wasteful number, since it uses less digits than its factorization.

100023313001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639464 (or 639457 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100023313001100 its reverse (1100313320001), we get a palindrome (101123626321101).

The spelling of 100023313001100 in words is "one hundred trillion, twenty-three billion, three hundred thirteen million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 23537 47074 70611 94148 117685 141222 235370 282444 353055 470740 541351 588425 615887 706110 1082702 1176850 1231774 1412220 1624053 1765275 1847661 2165404 2353700 2463548 2706755 3079435 3248106 3530550 3695322 5413510 6158870 6496212 7061100 7390644 8120265 9238305 10827020 12317740 13533775 14165401 15397175 16240530 18476610 27067550 28330802 30794350 32481060 36953220 40601325 42496203 46191525 54135100 56661604 61588700 70827005 81202650 84992406 92383050 141654010 162405300 169984812 184766100 212481015 283308020 354135025 424962030 708270050 849924060 1062405075 1416540100 2124810150 4249620300 14496132319 28992264638 43488396957 57984529276 72480661595 86976793914 144961323190 173953587828 217441984785 289922646380 333411043337 362403307975 434883969570 666822086674 724806615950 869767939140 1000233130011 1087209923925 1333644173348 1449613231900 1667055216685 2000466260022 2174419847850 3334110433370 4000932520044 4348839695700 5001165650055 6668220866740 8335276083425 10002331300110 16670552166850 20004662600220 25005828250275 33341104333700 50011656500550 100023313001100