Search a number
-
+
11100100020198 = 23729101157574723
BaseRepresentation
bin1010000110000111000110…
…0001001100011111100110
31110022011022001111120110220
42201201301201030133212
52423331001101121243
635335152054225210
72223645553260030
oct241416141143746
943264261446426
1011100100020198
11359a58709a732
1212b3335055206
13626972883537
142a53679d0c50
15143b1459e783
hexa187184c7e6

11100100020198 has 128 divisors (see below), whose sum is σ = 26675285713920. Its totient is φ = 3012462835200.

The previous prime is 11100100020179. The next prime is 11100100020209. The reversal of 11100100020198 is 89102000100111.

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, 19026465 + ... + 19601187.

It is an arithmetic number, because the mean of its divisors is an integer number (208400669640).

Almost surely, 211100100020198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11100100020198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13337642856960).

11100100020198 is an abundant number, since it is smaller than the sum of its proper divisors (15575185693722).

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

11100100020198 is a wasteful number, since it uses less digits than its factorization.

11100100020198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575022.

The product of its (nonzero) digits is 144, while the sum is 24.

The spelling of 11100100020198 in words is "eleven trillion, one hundred billion, one hundred million, twenty thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 101 157 174 202 203 303 314 406 471 606 609 707 942 1099 1218 1414 2121 2198 2929 3297 4242 4553 5858 6594 8787 9106 13659 15857 17574 20503 27318 31714 31871 41006 47571 61509 63742 95142 95613 110999 123018 191226 221998 332997 459853 574723 665994 919706 1149446 1379559 1724169 2759118 3218971 3448338 4023061 6437942 8046122 9656913 12069183 16666967 19313826 24138366 33333934 50000901 58047023 90231511 100001802 116094046 116668769 174141069 180463022 233337538 270694533 348282138 350006307 406329161 541389066 631620577 700012614 812658322 1218987483 1263241154 1683363667 1894861731 2437974966 2616713819 3366727334 3789723462 5050091001 5233427638 7850141457 9113382611 10100182002 11783545669 15700282914 18226765222 18316996733 23567091338 27340147833 35350637007 36633993466 54680295666 54950990199 63793678277 70701274014 109901980398 127587356554 191381034831 264288095719 382762069662 528576191438 792864287157 1585728574314 1850016670033 3700033340066 5550050010099 11100100020198