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145102100 = 2252111373139
BaseRepresentation
bin10001010011000…
…01010100010100
3101010000221122212
420221201110110
5244121231400
622222012552
73411230123
oct1051412424
9333027585
10145102100
11749a73a0
1240717158
13240a5740
14153b1aba
15cb13335
hex8a61514

145102100 has 144 divisors (see below), whose sum is σ = 377684160. Its totient is φ = 47692800.

The previous prime is 145102099. The next prime is 145102117. The reversal of 145102100 is 1201541.

145102100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 1043831 + ... + 1043969.

Almost surely, 2145102100 is an apocalyptic number.

145102100 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 145102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188842080).

145102100 is an abundant number, since it is smaller than the sum of its proper divisors (232582060).

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

145102100 is a wasteful number, since it uses less digits than its factorization.

145102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 145102100 is about 12045.8333045082. The cubic root of 145102100 is about 525.4820666684.

Adding to 145102100 its reverse (1201541), we get a palindrome (146303641).

The spelling of 145102100 in words is "one hundred forty-five million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 73 100 110 130 139 143 146 220 260 275 278 286 292 325 365 550 556 572 650 695 715 730 803 949 1100 1300 1390 1430 1460 1529 1606 1807 1825 1898 2780 2860 3058 3212 3475 3575 3614 3650 3796 4015 4745 6116 6950 7150 7228 7300 7645 8030 9035 9490 10147 10439 13900 14300 15290 16060 18070 18980 19877 20075 20294 20878 23725 30580 36140 38225 39754 40150 40588 41756 45175 47450 50735 52195 76450 79508 80300 90350 94900 99385 101470 104390 111617 131911 152900 180700 198770 202940 208780 223234 253675 260975 263822 397540 446468 496925 507350 521950 527644 558085 659555 993850 1014700 1043900 1116170 1319110 1451021 1987700 2232340 2638220 2790425 2902042 3297775 5580850 5804084 6595550 7255105 11161700 13191100 14510210 29020420 36275525 72551050 145102100