Search a number
-
+
102023013103020 = 223251931395307637
BaseRepresentation
bin10111001100101000010101…
…011101000111010110101100
3111101020022020012101010210200
4113030220111131013112230
5101333021112323244040
61000552420350233500
730326630241612162
oct2714502535072654
9441208205333720
10102023013103020
112a564798186969
12b5388b07b5890
1344c09623a6529
141b29d23c01232
15bbdcbcce9630
hex5cca157475ac

102023013103020 has 144 divisors (see below), whose sum is σ = 326798453785440. Its totient is φ = 25691888821248.

The previous prime is 102023013103003. The next prime is 102023013103021. The reversal of 102023013103020 is 20301310320201.

102023013103020 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 2 + 301 + 310 + 30 + 20 = 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 = 102023013102984 and 102023013103002.

It is not an unprimeable number, because it can be changed into a prime (102023013103021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46583359 + ... + 48724278.

Almost surely, 2102023013103020 is an apocalyptic number.

102023013103020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102023013103020 is an abundant number, since it is smaller than the sum of its proper divisors (224775440682420).

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

102023013103020 is a wasteful number, since it uses less digits than its factorization.

102023013103020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95307984 (or 95307979 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102023013103020 its reverse (20301310320201), we get a palindrome (122324323423221).

The spelling of 102023013103020 in words is "one hundred two trillion, twenty-three billion, thirteen million, one hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 313 342 380 570 626 684 855 939 1140 1252 1565 1710 1878 2817 3130 3420 3756 4695 5634 5947 6260 9390 11268 11894 14085 17841 18780 23788 28170 29735 35682 53523 56340 59470 71364 89205 107046 118940 178410 214092 267615 356820 535230 1070460 95307637 190615274 285922911 381230548 476538185 571845822 857768733 953076370 1143691644 1429614555 1715537466 1810845103 1906152740 2859229110 3431074932 3621690206 4288843665 5432535309 5718458220 7243380412 8577687330 9054225515 10865070618 16297605927 17155374660 18108451030 21730141236 27162676545 29831290381 32595211854 36216902060 54325353090 59662580762 65190423708 81488029635 89493871143 108650706180 119325161524 149156451905 162976059270 178987742286 268481613429 298312903810 325952118540 357975484572 447469355715 536963226858 566794517239 596625807620 894938711430 1073926453716 1133589034478 1342408067145 1700383551717 1789877422860 2267178068956 2684816134290 2833972586195 3400767103434 5101150655151 5369632268580 5667945172390 6801534206868 8501917758585 10202301310302 11335890344780 17003835517170 20404602620604 25505753275755 34007671034340 51011506551510 102023013103020