Search a number
-
+
100032100321310 = 25415330799115131
BaseRepresentation
bin10110101111101010001001…
…110011100100100000011110
3111010011222100001201210211222
4112233222021303210200132
5101102411220140240220
6552430040144013342
730033036461313653
oct2657521163444036
9433158301653758
10100032100321310
1129967414888743
12b276a84001252
1343a7ca96ac201
141a9b81818bc2a
15b870e79c5e25
hex5afa89ce481e

100032100321310 has 128 divisors (see below), whose sum is σ = 188744487579648. Its totient is φ = 38134571904000.

The previous prime is 100032100321291. The next prime is 100032100321333. The reversal of 100032100321310 is 13123001230001.

It is a super-2 number, since 2×1000321003213102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6611062445 + ... + 6611077575.

It is an arithmetic number, because the mean of its divisors is an integer number (1474566309216).

Almost surely, 2100032100321310 is an apocalyptic number.

100032100321310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100032100321310 is a deficient number, since it is larger than the sum of its proper divisors (88712387258338).

100032100321310 is a wasteful number, since it uses less digits than its factorization.

100032100321310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16530.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 100032100321310 its reverse (13123001230001), we get a palindrome (113155101551311).

The spelling of 100032100321310 in words is "one hundred trillion, thirty-two billion, one hundred million, three hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 5 10 41 53 82 106 205 265 307 410 530 614 991 1535 1982 2173 3070 4346 4955 9910 10865 12587 15131 16271 21730 25174 30262 32542 40631 52523 62935 75655 81262 81355 105046 125870 151310 162710 203155 262615 304237 406310 525230 608474 620371 667111 801943 1240742 1334222 1521185 1603886 2153443 3042370 3101855 3335555 4009715 4306886 4645217 6203710 6671110 8019430 9290434 10767215 12473717 14994821 16124561 21534430 23226085 24947434 29989642 32249122 32879663 46452170 62368585 65759326 74974105 80622805 124737170 149948210 161245610 164398315 190453897 246196501 328796630 380907794 492393002 614787661 661107001 794725513 952269485 1229575322 1230982505 1322214002 1589451026 1904538970 2461965010 3073938305 3305535005 3973627565 4603410047 6147876610 6611070010 7947255130 9206820094 10094056541 20188113082 23017050235 32583746033 46034100470 50470282705 65167492066 100940565410 162918730165 188739811927 243980732491 325837460330 377479623854 487961464982 943699059635 1219903662455 1887398119270 2439807324910 10003210032131 20006420064262 50016050160655 100032100321310