Search a number
-
+
100120101120102 = 237210118791794427
BaseRepresentation
bin10110110000111100000111…
…000011111110100001100110
3111010111101110222202120111010
4112300330013003332201212
5101110331431341320402
6552534312310323050
730042303303623400
oct2660740703764146
9433441428676433
10100120101120102
11299a0772a58328
12b28bb43359486
1343b339227689b
141aa1ba575bb70
15b8954859ba6c
hex5b0f070fe866

100120101120102 has 96 divisors (see below), whose sum is σ = 235364067083520. Its totient is φ = 28307429035200.

The previous prime is 100120101120071. The next prime is 100120101120131. The reversal of 100120101120102 is 201021101021001.

It is a congruent number.

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, 54897813 + ... + 56692239.

It is an arithmetic number, because the mean of its divisors is an integer number (2451709032120).

Almost surely, 2100120101120102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100120101120102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117682033541760).

100120101120102 is an abundant number, since it is smaller than the sum of its proper divisors (135243965963418).

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

100120101120102 is a wasteful number, since it uses less digits than its factorization.

100120101120102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796426 (or 1796419 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100120101120102 its reverse (201021101021001), we get a palindrome (301141202141103).

The spelling of 100120101120102 in words is "one hundred trillion, one hundred twenty billion, one hundred one million, one hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 49 98 101 147 202 294 303 606 707 1414 1879 2121 3758 4242 4949 5637 9898 11274 13153 14847 26306 29694 39459 78918 92071 184142 189779 276213 379558 552426 569337 1138674 1328453 1794427 2656906 3588854 3985359 5383281 7970718 9299171 10766562 12560989 18598342 25121978 27897513 37682967 55795026 75365934 87926923 175853846 181237127 263780769 362474254 527561538 543711381 1087422762 1268659889 2537319778 3371728333 3805979667 6743456666 7611959334 8880619223 10115184999 17761238446 20230369998 23602098331 26641857669 47204196662 53283715338 70806294993 141612589986 165214688317 330429376634 340544561633 495644064951 681089123266 991288129902 1021633684899 2043267369798 2383811931431 4767623862862 7151435794293 14302871588586 16686683520017 33373367040034 50060050560051 100120101120102