Search a number
-
+
101202022012002 = 231953591213234043
BaseRepresentation
bin10111000000101011101110…
…100100101001010001100010
3111021022211002220210111021120
4113000223232210221101202
5101231043220113341002
6555123322254033110
730213414306516102
oct2700535644512142
9437284086714246
10101202022012002
112a27859a10486a
12b4257684a8796
134461404614152
141adc2bdac5202
15ba776bc69cbc
hex5c0aee929462

101202022012002 has 128 divisors (see below), whose sum is σ = 220939033881600. Its totient is φ = 30798549160704.

The previous prime is 101202022011991. The next prime is 101202022012009. The reversal of 101202022012002 is 200210220202101.

It is not an unprimeable number, because it can be changed into a prime (101202022012009) 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, 432290793 + ... + 432524835.

It is an arithmetic number, because the mean of its divisors is an integer number (1726086202200).

Almost surely, 2101202022012002 is an apocalyptic number.

101202022012002 is an abundant number, since it is smaller than the sum of its proper divisors (119737011869598).

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

101202022012002 is a wasteful number, since it uses less digits than its factorization.

101202022012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235392.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 101202022012002 its reverse (200210220202101), we get a palindrome (301412242214103).

The spelling of 101202022012002 in words is "one hundred one trillion, two hundred two billion, twenty-two million, twelve thousand, two".

Divisors: 1 2 3 6 19 38 53 57 59 106 114 118 159 177 318 354 1007 1121 1213 2014 2242 2426 3021 3127 3363 3639 6042 6254 6726 7278 9381 18762 23047 46094 59413 64289 69141 71567 118826 128578 138282 143134 178239 192867 214701 234043 356478 385734 429402 468086 702129 1221491 1359773 1404258 2442982 2719546 3664473 3793051 4079319 4446817 7328946 7586102 8158638 8893634 11379153 12404279 13340451 13808537 22758306 24808558 26680902 27617074 37212837 41425611 72067969 74425674 82851222 144135938 216203907 235681301 262362203 283894159 432407814 471362602 524724406 567788318 707043903 731852461 787086609 851682477 1414087806 1463704922 1574173218 1703364954 2195557383 4391114766 5393989021 10787978042 13905196759 15046390427 16181967063 16749755381 27810393518 30092780854 32363934126 33499510762 41715590277 45139171281 50249266143 83431180554 90278342562 100498532286 285881418113 318245352239 571762836226 636490704478 857644254339 887737035193 954736056717 1715288508678 1775474070386 1909472113434 2663211105579 5326422211158 16867003668667 33734007337334 50601011006001 101202022012002