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102010202022220 = 225294710137050697
BaseRepresentation
bin10111001100011100011001…
…110110101110000101001100
3111101012002011101001210202121
4113030130121312232011030
5101332313343204202340
61000542501224302324
730325664621331322
oct2714343166560514
9441162141053677
10102010202022220
112a55a313706288
12b5363163119a4
1344bc6a01ac34b
141b2946a5b1d12
15bbd7bd26394a
hex5cc719dae14c

102010202022220 has 96 divisors (see below), whose sum is σ = 228564273934080. Its totient is φ = 38177037158400.

The previous prime is 102010202022181. The next prime is 102010202022299. The reversal of 102010202022220 is 22220202010201.

It is a super-2 number, since 2×1020102020222202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102010202022194 and 102010202022203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15772089 + ... + 21278608.

It is an arithmetic number, because the mean of its divisors is an integer number (2380877853480).

Almost surely, 2102010202022220 is an apocalyptic number.

102010202022220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010202022220 is an abundant number, since it is smaller than the sum of its proper divisors (126554071911860).

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

102010202022220 is a wasteful number, since it uses less digits than its factorization.

102010202022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37050883 (or 37050881 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 102010202022220 its reverse (22220202010201), we get a palindrome (124230404032421).

The spelling of 102010202022220 in words is "one hundred two trillion, ten billion, two hundred two million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 47 58 94 101 116 145 188 202 235 290 404 470 505 580 940 1010 1363 2020 2726 2929 4747 5452 5858 6815 9494 11716 13630 14645 18988 23735 27260 29290 47470 58580 94940 137663 275326 550652 688315 1376630 2753260 37050697 74101394 148202788 185253485 370506970 741013940 1074470213 1741382759 2148940426 3482765518 3742120397 4297880852 5372351065 6965531036 7484240794 8706913795 10744702130 14968481588 17413827590 18710601985 21489404260 34827655180 37421203970 50500100011 74842407940 101000200022 108521491513 175879658659 202000400044 217042983026 252500500055 351759317318 434085966052 505001000110 542607457565 703518634636 879398293295 1010002000220 1085214915130 1758796586590 2170429830260 3517593173180 5100510101111 10201020202222 20402040404444 25502550505555 51005101011110 102010202022220