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202101000122010 = 235113147214184647
BaseRepresentation
bin101101111100111101001110…
…010100100010111010011010
3222111120200000012000201021010
4231330331032110202322122
5202442210322012401020
61553455530121354350
760366213120560643
oct5574751624427232
9874520005021233
10202101000122010
1159439609896750
121a8006400389b6
1388a00725b3552
1437c9a522b46ca
15185719deadde0
hexb7cf4e522e9a

202101000122010 has 128 divisors (see below), whose sum is σ = 546321932402688. Its totient is φ = 47403669888000.

The previous prime is 202101000122009. The next prime is 202101000122033. The reversal of 202101000122010 is 10221000101202.

It is a super-3 number, since 3×2021010001220103 (a number of 44 digits) contains 333 as substring.

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, 46203507 + ... + 50388153.

It is an arithmetic number, because the mean of its divisors is an integer number (4268140096896).

Almost surely, 2202101000122010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202101000122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273160966201344).

202101000122010 is an abundant number, since it is smaller than the sum of its proper divisors (344220932280678).

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

202101000122010 is a wasteful number, since it uses less digits than its factorization.

202101000122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4189420.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 202101000122010 its reverse (10221000101202), we get a palindrome (212322000223212).

The spelling of 202101000122010 in words is "two hundred two trillion, one hundred one billion, one hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 310 330 341 465 682 930 1023 1705 2046 3410 4721 5115 9442 10230 14163 23605 28326 47210 51931 70815 103862 141630 146351 155793 259655 292702 311586 439053 519310 731755 778965 878106 1463510 1557930 1609861 2195265 3219722 4184647 4390530 4829583 8049305 8369294 9659166 12553941 16098610 20923235 24147915 25107882 41846470 46031117 48295830 62769705 92062234 125539410 129724057 138093351 230155585 259448114 276186702 389172171 460311170 648620285 690466755 778344342 1297240570 1380933510 1426964627 1945860855 2853929254 3891721710 4280893881 7134823135 8561787762 14269646270 19755718487 21404469405 39511436974 42808938810 59267155461 98778592435 118534310922 197557184870 217312903357 296335777305 434625806714 592671554610 612427273097 651938710071 1086564516785 1224854546194 1303877420142 1837281819291 2173129033570 3062136365485 3259693550355 3674563638582 6124272730970 6519387100710 6736700004067 9186409096455 13473400008134 18372818192910 20210100012201 33683500020335 40420200024402 67367000040670 101050500061005 202101000122010