Search a number
-
+
100121011213210 = 251371349105129573
BaseRepresentation
bin10110110000111100111101…
…010011101101001110011010
3111010111110211102021002112021
4112300330331103231032122
5101110340312332310320
6552534542501005054
730042334664400151
oct2660747523551632
9433443742232467
10100121011213210
11299a109a753799
12b2901580b378a
1343b34a8995310
141aa1c50584598
15b8959d41ddaa
hex5b0f3d4ed39a

100121011213210 has 128 divisors (see below), whose sum is σ = 197572679539200. Its totient is φ = 36306845568000.

The previous prime is 100121011213159. The next prime is 100121011213211. The reversal of 100121011213210 is 12312110121001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100121011213211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3385539984 + ... + 3385569556.

It is an arithmetic number, because the mean of its divisors is an integer number (1543536558900).

Almost surely, 2100121011213210 is an apocalyptic number.

100121011213210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100121011213210 is a deficient number, since it is larger than the sum of its proper divisors (97451668325990).

100121011213210 is a wasteful number, since it uses less digits than its factorization.

100121011213210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31064.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 100121011213210 its reverse (12312110121001), we get a palindrome (112433121334211).

The spelling of 100121011213210 in words is "one hundred trillion, one hundred twenty-one billion, eleven million, two hundred thirteen thousand, two hundred ten".

Divisors: 1 2 5 10 13 26 65 71 130 142 349 355 698 710 923 1051 1745 1846 2102 3490 4537 4615 5255 9074 9230 10510 13663 22685 24779 27326 29573 45370 49558 59146 68315 74621 123895 136630 147865 149242 247790 295730 322127 366799 373105 384449 644254 733598 746210 768898 970073 1610635 1833995 1922245 1940146 2099683 3221270 3667990 3844490 4199366 4768387 4850365 9536774 9700730 10320977 10498415 20641954 20996830 23841935 26042729 27295879 31081223 47683870 51604885 52085458 54591758 62162446 103209770 130213645 134172701 136479395 155406115 260427290 268345402 272958790 310812230 338555477 404055899 670863505 677110954 732789367 808111798 1341727010 1465578734 1692777385 2020279495 2206766833 3385554770 3663946835 4040558990 4413533666 7327893670 9526261771 10847346827 11033834165 19052523542 21694693654 22067668330 28687968829 47631308855 54236734135 57375937658 95262617710 108473468270 141015508751 143439844145 282031017502 286879688290 705077543755 770161624717 1410155087510 1540323249434 3850808123585 7701616247170 10012101121321 20024202242642 50060505606605 100121011213210