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102023321220 = 223253727156527
BaseRepresentation
bin101111100000100010…
…0000101011010000100
3100202100011212201011200
41133001010011122010
53132420432234340
6114511401502500
710241142631122
oct1370104053204
9322304781150
10102023321220
113a2a45612a7
12179334a1a30
13980ba60b32
144d1ba6a912
1529c1ba7330
hex17c1105684

102023321220 has 144 divisors (see below), whose sum is σ = 319013280768. Its totient is φ = 26372770560.

The previous prime is 102023321201. The next prime is 102023321233. The reversal of 102023321220 is 22123320201.

102023321220 is a `hidden beast` number, since 10 + 202 + 332 + 122 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102023321193 and 102023321202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1776597 + ... + 1833123.

Almost surely, 2102023321220 is an apocalyptic number.

102023321220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102023321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159506640384).

102023321220 is an abundant number, since it is smaller than the sum of its proper divisors (216989959548).

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

102023321220 is a wasteful number, since it uses less digits than its factorization.

102023321220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56850 (or 56845 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102023321220 its reverse (22123320201), we get a palindrome (124146641421).

The spelling of 102023321220 in words is "one hundred two billion, twenty-three million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 271 333 370 444 542 555 666 740 813 1084 1110 1332 1355 1626 1665 2220 2439 2710 3252 3330 4065 4878 5420 6660 8130 9756 10027 12195 16260 20054 24390 30081 40108 48780 50135 56527 60162 90243 100270 113054 120324 150405 169581 180486 200540 226108 282635 300810 339162 360972 451215 508743 565270 601620 678324 847905 902430 1017486 1130540 1695810 1804860 2034972 2091499 2543715 3391620 4182998 5087430 6274497 8365996 10174860 10457495 12548994 15318817 18823491 20914990 25097988 30637634 31372485 37646982 41829980 45956451 61275268 62744970 75293964 76594085 91912902 94117455 125489940 137869353 153188170 183825804 188234910 229782255 275738706 306376340 376469820 459564510 551477412 566796229 689346765 919129020 1133592458 1378693530 1700388687 2267184916 2757387060 2833981145 3400777374 5101166061 5667962290 6801554748 8501943435 10202332122 11335924580 17003886870 20404664244 25505830305 34007773740 51011660610 102023321220